
******Bambrick_Stobb_Meeting of the Minds Replication********


***Table 3.Explaining Horizontality 
**Model 1 (Aggregate)
logit binding3N inclusionBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 2 (First Stage)
logit binding3N incl1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 3 (Second Stage)
logit binding3N incl2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 4(Third Stage)
logit binding3N incl3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat

***Table 4. Increase in Probability Horizontality is Adopted Moving from No to Full Inclusion
**Model 1 (Aggregate)
logit binding3N inclusionBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (inclusionBT==0 inclusionBT==1 inclusionBT==2 inclusionBT==3 inclusionBT==4 inclusionBT==5  inclusionBT==6 )
**Model 2 (First Stage)
logit binding3N incl1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl1BT==0 incl1BT==1 incl1BT==2)
**Model 3 (Second Stage)
logit binding3N incl2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl2BT==0 incl2BT==1 incl2BT==2)
**Model 4 (Third Stage)
logit binding3N incl3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl3BT==0 incl3BT==1 incl3BT==2)

***Footnote 16 Correlations-Inclusion and Participation
spearman inclusionBT participationBT
spearman incl1BT part1BT
spearman incl2BT part2BT
spearman incl3BT part3BT

*******Appendix********
***Table 1 A. Descriptive Statistics
tab inclusionBT
tab incl1BT
tab incl2BT
tab incl3BT
sum intensity_mean_3
tab participationBT
tab part1BT
tab part2BT
tab part3BT
sum v2x_polyarchy
sum elfBT
tab any_IO
sum ODA_GDP_mean
tab Britishcolon
tab Frenchcolon
tab binding3N_Past

***Table 2A. Increase in Probability Horizontality is adopted Moving from No to Full Inclusion (With Confidence Intervals)
**Model 1 (Aggregate)
logit binding3N inclusionBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (inclusionBT==0 inclusionBT==1 inclusionBT==2 inclusionBT==3 inclusionBT==4 inclusionBT==5  inclusionBT==6 )
**Model 2 (First Stage)
logit binding3N incl1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl1BT==0 incl1BT==1 incl1BT==2)
**Model 3 (Second Stage)
logit binding3N incl2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl2BT==0 incl2BT==1 incl2BT==2)
**Model 4 (Third Stage)
logit binding3N incl3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl3BT==0 incl3BT==1 incl3BT==2)

***Table 3A. Decrease in Probability Horizontality if Adopted as Conflict Intensity Increases
**Conflict Intesity Mean is .3076923, SD is .5482608, maximum is 2
**Model 1 (Aggregate)
logit binding3N inclusionBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (intensity_mean_3==0 intensity_mean_3==.3333333 intensity_mean_3==.6666667 intensity_mean_3==1 intensity_mean_3==1.333333 intensity_mean_3==1.666667 intensity_mean_3==2)
**Model 2 (First Stage)
logit binding3N incl1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (intensity_mean_3==0 intensity_mean_3==.3333333 intensity_mean_3==.6666667 intensity_mean_3==1 intensity_mean_3==1.333333 intensity_mean_3==1.666667 intensity_mean_3==2)
**Model 3 (Second Stage)
logit binding3N incl2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (intensity_mean_3==0 intensity_mean_3==.3333333 intensity_mean_3==.6666667 intensity_mean_3==1 intensity_mean_3==1.333333 intensity_mean_3==1.666667 intensity_mean_3==2)
**Model 4 (Third Stage)
logit binding3N incl3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (intensity_mean_3==0 intensity_mean_3==.3333333 intensity_mean_3==.6666667 intensity_mean_3==1 intensity_mean_3==1.333333 intensity_mean_3==1.666667 intensity_mean_3==2)


***Table 4A. Inclusion and Participation
**Model 1 (Aggregate)
logit binding3N inclusionBT participationBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 2 (First Stage)
logit binding3N incl1BT part1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 3 (Second Stage)
logit binding3N incl2BT part2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 4 (Third Stage)
logit binding3N incl3BT part3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat

***Table 5A. Increase in Probability Horizontality is adopted Moving from No to Full Inclusion, Controlling for Participation (With Confidence Intervals)
**Model 1 (Aggregate)
logit binding3N inclusionBT participationBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (inclusionBT==0 inclusionBT==6)
**Model 2 (First Stage)
logit binding3N incl1BT part1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl1BT==0 incl1BT==2)
**Model 3 (Second Stage)
logit binding3N incl2BT part2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl2BT==0 incl2BT==2)
**Model 4 (Third Stage)
logit binding3N incl3BT part3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl3BT==0 incl3BT==2)

***Table 6A. Nested Models of Inclusion
**Model 5 (Aggregate) bivariate
logit binding3N inclusionBT, cl(cowcode)
fitstat
**Model 6 (Aggregate) with all controls but lag
logit binding3N inclusionBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon, cl(cowcode)
fitstat
**Model 7 (First Stage) bivariate
logit binding3N incl1BT, cl(cowcode)
fitstat
**Model 8 (Second Stage) with all controls but lag
logit binding3N incl1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon, cl(cowcode)
fitstat
**Model 9 (Second Stage) bivariate
logit binding3N incl2BT, cl(cowcode)
fitstat
**Model 10 (Second Stage) with all controls but lag
logit binding3N incl2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon, cl(cowcode)
fitstat
**Model 11 (Third Stage) bivariate
logit binding3N incl3BT, cl(cowcode)
fitstat
**Model 12 (Third Stage) with all controls but lag
logit binding3N incl3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon, cl(cowcode)
fitstat


***Table 7A Nested Models of Participation
**Model 13 (Aggregate) bivariate
logit binding3N participationBT, cl(cowcode)
fitstat
**Model 14 (Aggregate) with all controls but lag
logit binding3N participationBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon, cl(cowcode)
fitstat
**Model 15 (First Stage) bivariate
logit binding3N part1BT, cl(cowcode)
fitstat
**Model 16 (First Stage) with all controls but lag
logit binding3N part1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon, cl(cowcode)
fitstat
**Model 17 (Second Stage) bivariate
logit binding3N part2BT, cl(cowcode)
fitstat
**Model 18 (Second Stage) with all controls but lag
logit binding3N part2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon, cl(cowcode)
fitstat
**Model 19 (Third Stage) bivariate
logit binding3N part3BT, cl(cowcode)
fitstat
**Model 20 (Third Stage) with all controls but lag
logit binding3N part3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon, cl(cowcode)
fitstat

****Table 8A Impact of Participation on Horizontality, Full Model
**Model 21 (Aggregate)
logit binding3N participationBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
**Model 22 (First Stage)
logit binding3N part1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
**Model 23 (Second Stage)
logit binding3N part2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
**Model 24 (Third Stage)
logit binding3N  part3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)


***Table 9A Impact of Participation on Horizontality, Full Model, Predicted Probabilities
**Model 21 (Aggregate)
logit binding3N participationBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (participationBT==0 participationBT==6)
**Model 22 (First Stage)
logit binding3N part1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (part1BT==0 part1BT==2)
**Model 23 (Second Stage)
logit binding3N part2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (part2BT==0 part2BT==2)
**Model 24 (Third Stage)
logit binding3N  part3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (part3BT==0 part3BT==2)

***Table 10A. Interaction Models of Inclusion and Participation 
**Model 25 (Aggregate)
logit binding3N c.inclusionBT##c.participationBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 26 (First Stage)
logit binding3N c.incl1BT##c.part1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 27 (Second Stage)
logit binding3N c.incl2BT##c.part2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat
**Model 28 (Third Stage)
logit binding3N c.incl3BT##c.part3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat

***Table 11A Interaction Models of Inclusion and Participation Predicted Probabilities
**Inclusion Aggregate
logit binding3N c.inclusionBT##c.participationBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (inclusionBT==0 inclusionBT==6 participationBT==0)
margins, at (inclusionBT==0 inclusionBT==6 participationBT==6)
***Inclusion First Stage
logit binding3N c.incl1BT##c.part1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl1BT==0 incl1BT==2 part1BT==0)
margins, at (incl1BT==0 incl1BT==2 part1BT==2)
***Inclusion Second Stage
logit binding3N c.incl2BT##c.part2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl2BT==0 incl2BT==2 part2BT==0)
margins, at (incl2BT==0 incl2BT==2 part2BT==2)
***Inclusion Third Stage
logit binding3N c.incl3BT##c.part3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (incl3BT==0 incl3BT==2 part3BT==0)
margins, at (incl3BT==0 incl3BT==2 part3BT==2)

***Table 12A Interaction Models of Inclusion and Participation Predicted Probabilities
**Participation Aggregate
logit binding3N c.inclusionBT##c.participationBT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (participationBT==0 participationBT==6 inclusionBT==0)
margins, at (participationBT==0 participationBT==6 inclusionBT==6)
***Participation First Stage
logit binding3N c.incl1BT##c.part1BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (part1BT==0 part1BT==2 incl1BT==0)
margins, at (part1BT==0 part1BT==2 incl1BT==2)
***Participation Second Stage
logit binding3N c.incl2BT##c.part2BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (part2BT==0 part2BT==2 incl2BT==0)
margins, at (part2BT==0 part2BT==2 incl2BT==2)
***Participation Third Stage
logit binding3N c.incl3BT##c.part3BT intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
margins, at (part3BT==0 part3BT==2 incl3BT==0)
margins, at (part3BT==0 part3BT==2 incl3BT==2)

***Table 13A Sensitivity Analysis, Model without Inclusion and Participation
**Model 29 (Aggregate)
logit binding3N intensity_mean_3 v2x_polyarchy elfBT any_IO ODA_GDP_mean Britishcolon Frenchcolon binding3N_Past, cl(cowcode)
fitstat

